Least Common Multiple of 295/871, 5739/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 295/871, 5739/855 quickly i.e. 1693005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 295/871, 5739/855 is 1693005.

LCM(295/871, 5739/855) = 1693005

LCM of 295/871, 5739/855

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 295/871,5739/855

Given numbers are 295/871,5739/855

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 295,5739

Least Common Multiple of Numerators i.e. LCM of 295,5739 is 1693005.

GCF of Denominators means GCF of 871,855 as per the given fractions.

GCF of 871,855 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 295,5739

LCM of Fractions 295/871,5739/855 is 1693005

Given numbers has no common factors except 1. So, there LCM is their product i.e 1693005

Least Common Multiple of 295,5739 with GCF Formula

Least Common Multiple of 295,5739 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 295,5739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,5739) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(295,5739) x common factors =1 x 1 = 1

LCM(295,5739) = ( 295 × 5739 ) / 1

LCM(295,5739) = 1693005 / 1

LCM(295,5739) = 1693005


Lets's calculate GCF of 871,855

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1693005/1

Therefore the LCM of Fractions 295/871,5739/855 is 1693005

Greatest Common Factor of 871,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,855 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 871,855 . The biggest common factor number is the GCF number.
So the greatest common factor 871,855 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 295/871, 5739/855

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 295/871, 5739/855?

Answer: LCM of Numerators as per given numbers 295/871, 5739/855 is

LCM of Numerators i.e. for 295,5739 is 1693005

GCF of denominators i.e. for 871,855 is 1.

Thus, LCM of Fractions is 1693005.Finally, LCM of Fractions for 295/871, 5739/855 is 1693005.